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Finding the Fourth Proportional to 9,381.65, 14,072.48 and 3,835.79

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Solution

The fourth proportional to 9,381.65, 14,072.48 and 3,835.79 is: 5,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.65 : 14,072.48 = 3,835.79 : x
  2. Step 2: Convert to fraction form
    9,381.65/14,072.48 = 3,835.79/x
  3. Step 3: Cross multiply
    9,381.65x = 14,072.48 × 3,835.79
  4. Step 4: Simplify right side
    9,381.65x = 53,978,988.52
  5. Step 5: Solve for x
    x = 53,978,988.52/9,381.65
  6. Step 6: Final answer
    x = 5,753.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.